Elliptic and Parabolic Equations
Elliptic and parabolic PDE's have been powerful models of problems in science and engineering for more than a quarter millennium. The classical solution theory of these equations assumes "perfect" spatial domains and coefficients. However, to deal with real world problems today one has to take into account vertices and edges of three dimensional spatial domains, discontinuous coefficient functions, and various mixed boundary conditions. Suitable regularity for such linear elliptic problems is crucial for the solution theory of corresponding nonlinear elliptic and parabolic equations. This conference shall examine the progress in this direction, and elliptic and parabolic equations in real space at large. Beyond that scope one day of the conference shall be specifically devoted to Navier-Stokes equations.